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Finding the Third Proportional to 195,220.50 and 295,289.44

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Solution

The third proportional to 195,220.50 and 295,289.44 is: 446,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,220.50 : 295,289.44 = 295,289.44 : x
  2. Step 2: Convert to fraction form
    195,220.50/295,289.44 = 295,289.44/x
  3. Step 3: Cross multiply
    195,220.50x = 295,289.44 × 295,289.44
  4. Step 4: Simplify right side
    195,220.50x = 87,195,851,899.07
  5. Step 5: Solve for x
    x = 87,195,851,899.07/195,220.50
  6. Step 6: Final answer
    x = 446,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.